Iterates of positive linear operators on Bauer simplices
Dedicated to Professor Heiner Gonska on the occasion of his 70th anniversary.
DOI:
https://doi.org/10.24193/subbmath.2019.3.04Keywords:
Bauer simplex, positive linear operators, iterates, convergence.Abstract
We consider positive linear operators acting on C(K), where K is a metrizable Bauer simplex. For such an operator L we investigate the limit of the iterates Lm, when m → ∞. Qualitative results and rates of convergence are obtained. The general results are illustrated by examples involving classical operators.
Mathematics Subject Classification (2010): 41A36, 46A55.
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